. For this problem, assume that Joe has $80 to spend on books and movies each month and that both goods must be purchased whole (no fractional units). Movies cost $8 each, and books cost $20 each. Joe's preferences for movies and books are summa- rized by the following information:
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- Take Jeremys total utility information in Exercise 6.1, and use the marginal utility approach to confirm the choice of phone minutes and round trips that maximize Jeremys utility.As a college student you work at a part-time job, but your parents also send you a monthly allowance. Suppose one month your parents forgot to send the check. Show graphically how your budget constraint is affected. Assuming you only buy normal goods, what would happen to your purchases of goods?If people do not have a complete mental picture of total utility for every level of consumption, how can they find their utility-maximizing consumption choice?
- Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either call her on the land-line phone for five cents per minute or he can drive to see her, at a round—trip cost of 2 in gasoline money. He has a total of 10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses a handy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values in Table 6.6, figure out the points 011 Jeremys consumption choice budget constraint (it may be helpful to do a sketch) and identify his utility-maximizing point.Question 3 Mrs. Griffiths earns $5000 a week and spends her entire income on dresses and handbags, since these are the only two items that provide her utility. Furthermore, Mrs. Griffiths insists that for every dress she buys, she must also buy a handbag. - What is the algebraic equation for Mrs. Griffiths budget constraint if dresses cost $25 each and handbags cost $14 each? How many of each good will she buy and represent this on a budget line with handbags on the horizontal axis. - Draw an indifference curve showing the optimum choice. Label the optimum as point A. What would be the marginal rate of substitution at the point that corresponds to the optimal consumption choice? Interpret the marginal rate of substitution. - Suppose the price of a dresses increases to $200 and income decreases to $4200. What is the new algebraic equation for Mrs. Griffiths budget constraint? Show the impact of the new budget line relative to the original budget line. - What would be the new marginal…Bottles of water sell for 1 euro and slices of chocolate cake sells for 5 euros. Suppose Jack, whose preferences satisfy all of the basic assumptions of consumer choice theory, buys 5 bottles of water and one slice of chocolate cake every day. At this consumption bundle, his MRS of bottles of water for slices of chocolate cake is 3 (i.e. he is willing to give up 3 bottles of water to get an additional slice of cake). Which of the following is true? (Hint: draw this situation with bottles of water on the vertical axis and slices of cake on the horizontal axis). Jack could not increase his utility because it is already at a maximum level. Jack could increase his utility by buying more bottles of water and less chocolate cake. Jack could increase his utility by buying more bottles of water and more chocolate cake. Jack could increase his utility by buying fewer bottles of water and more slices of cake.
- Bottles of water sell for 1 euro and slices of chocolate cake sells for 3 euros. Suppose Jack, whose preferences satisfy all of the basic assumptions of consumer choice theory, buys 5 bottles of water and one slice of chocolate cake every day. At this consumption bundle, his MRS of bottles of water for slices of chocolate cake is 3 (i.e. he is willing to give up 3 bottles of water to get an additional slice of cake). Which of the following is true? (Hint: draw this situation with bottles of water on the vertical axis and slices of cake on the horizonal axis). A. Jack could increase his utility by buying fewer bottles of water and more slices of cake. B. Jack could increase his utility by buying more bottles of water and less chocolate cake. C. Jack could not increase his utility because it is already at a maximum level. D. Jack could increase his utility by buying more bottles of water and more chocolate cake.Mrs. Rochester earns $4500 a week and spends her entire income on computers andpastries, since these are the only two items that provide her utility. Furthermore, Mrs.Rochester insists that for every computer she buys, she must also buy a pastry. a) What is the algebraic equation for Mrs. Rochester’s budget constraint if computerscost $25 each and pastries cost $14 each? How many of each good will she buy andrepresent this on a budget line with pastries on the horizontal axis. b) Draw an indifference curve showing the optimum choice. Label the optimum aspoint A. What would be the marginal rate of substitution at the point thatcorresponds to the optimal consumption choice? Interpret the marginal rate ofsubstitution. c) Suppose the price of pastries increases to $20 and income decreases to $3200. Whatis the new algebraic equation for Mrs. Rochester’s budget constraint? Show theimpact of the new budget line relative to the original budget line. d) What would be the new marginal rate of…Suppose that with a budget of $100, Deborah spends $60 on sushi and $40 on bagels when sushi costs $2 per piece and bagels cost $2 per bagel. But then, after the price of bagels falls to $1 per bagel, she spends $50 on sushi and $50 on bagels. How many pieces of sushi and how many bagels did Deborah consume before the price change? At the new prices, how much money would it have cost Deborah to buy those same quantities (the ones that she consumed before the price change)? Given that it used to take Deborah’s entire $100 to buy those quantities, how big is the income effect caused by the reduction in the price of bagels?
- For this problem, assume that Joe has $80 to spend on books and movies each month and that both goods must be purchased whole (no fractional units). Movies cost $8 each, and books cost $20 each. Joe’s preferences for movies and books are summarized by the following information: MOVIES BOOKS NO. PER MONTH TU MU MU/S NO. PER MONTH TU MU MU/S 1 50 — — 1 22 — — 2 80 — — 2 42 — — 3 100 — — 3 52 — — 4 110 — — 4 57 — — 5 116 — — 5 60 — — 6 121 — — 6 62 — — 7 123 — — 7 63 — — a. Fill in the figures for marginal utility and marginal utility per dollar for both movies and books. b. Are these preferences consistent with the law of diminishing marginal utility? Explain briefly. c. Given the budget of $80, what quantity of books and what quantity of movies will maximize Joe’s level of satisfaction? Explain briefly. d. Draw the budget…Inayah is a rational consumer who consumes milk and cookies only from her monthly income of Rs. 1,500. If the price of milk is Rs. 500 per liter and the price of one pack of cookie is Rs. 300, answer the following questions: a) Given the information above write the equation of the budget line and illustrate the same through the two-dimensional labeled diagram. b) If Inayah spends all of her income on consuming one good, find i. how much cookies she could afford? ii. how much milk she could consume? c) Identify the impact of an increase in the income from Rs. 1,500 to Rs. 1,800 on Inayah’s consumption level. Also illustrate it using the two-dimensional labeled diagram. d) Assume that Inayah’s consumption of milk and cookies give her following level of utility: Quantity MU milk MU cookies 1 400 450 2 350 200 3 200 150 4 100 100 5 70 60 6 30 30 7 0 0 i. Find the optimal level of consumption. ii. Find the consumer equilibrium using the two-dimensional labeled…John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke, or does he show increasing marginal utility for Coke? Supposethat John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke?